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Finding the Fourth Proportional to 454.32, 680.87 and 289.78

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Solution

The fourth proportional to 454.32, 680.87 and 289.78 is: 434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.32 : 680.87 = 289.78 : x
  2. Step 2: Convert to fraction form
    454.32/680.87 = 289.78/x
  3. Step 3: Cross multiply
    454.32x = 680.87 × 289.78
  4. Step 4: Simplify right side
    454.32x = 197,302.14
  5. Step 5: Solve for x
    x = 197,302.14/454.32
  6. Step 6: Final answer
    x = 434.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.